If $2 x + 3 y = 1, x + 3 y = - 1$ , then x and y are_____.

(2, - 1)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(1, - 2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(- 1, 2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(0, 2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $(2, - 1)$
$2 x + 3 y = 1 . . . . . . . . . (i)$
$x + 3 y = - 1 . . . . . . . . . . . (i i)$
$s u b t r a c t (i i) f r o m (i)$
$2 x + 3 y = 1$
$x + 3 y = - 1 - ------------ -$
$x = 2$
$p l u g g i n g i n (i)$
$2 (2) + 3 y = 1$
$\Rightarrow 4 + 3 y = 1$
$\Rightarrow 3 y = - 3$
$y = - 1$
$H e n c e (2, - 1)$

Suggest Corrections

Similar questions

2^{x} + 3^{y} = 17, 2^{x + 2} - 3^{y + 1} = 5

x

y

x - y - 1 = 0, 4 x + 3 y = k

2 x - 3 y + 1 = 0

k

If $2^{x} = 3^{y} = 12^{z}, S h o w t h a t \frac{1}{z} = \frac{1}{y} + \frac{2}{x}$ .

\frac{1}{2^{x}} + \frac{2}{3^{y}} = 10, \frac{3}{2^{x}} - \frac{5}{3^{y}} = - 3

\frac{1}{2 x} + \frac{2}{3 y} = 10, \frac{3}{2 x} - \frac{5}{3 y} = - 3,

\frac{1}{y} - \frac{1}{x}

Join BYJU'S Learning Program